Problem Statement
Find the prime number closest to the given integer .
Ground Truth
12269137
Execution Trace
Reasoning Process
<|channel|>commentary to=python code<|message|>import sympy as sp N = 12269117 sp.isprime(N)
Tool Output
[PYTHON OUTPUT]
False
[/PYTHON OUTPUT]
Reasoning Process
<|channel|>commentary to=python code<|message|>import sympy as sp N = 12269117 prev_prime = sp.prevprime(N) next_prime = sp.nextprime(N) prev_prime, next_prime
Tool Output
[PYTHON OUTPUT]
(12269093, 12269137)
[/PYTHON OUTPUT]
Reasoning Process
[THOUGHT] The distances to the nearest primes are 24 (to 12269093) and 20 (to 12269137). The smaller distance is 20, so the closest prime to N is 12269137.\boxed{12269137}
Final Model Output
12269137
Comparative Analysis (P1) (Average across runs)
Avg Time Taken
Deepseek-R1-distill-Qwen-32B (high)
147.2
Deepseek-V3.2
86.7
Gemma-3-27B
76.9
Llama-VARCO-8B-Instruct
60.3
Solar-Pro-2 (31B)(high)
26.7
HCX-007(high)
21.9
Gemini-3-Pro-Preview
15.5
Grok-4.1-fast
14.5
Claude-Opus-4.5
10.1
GPT-oss-20B (high)
8.7
GPT-5.1 (high)
7.6
A.X-4.0 (72B)
6.0
Qwen3-30B-A3B-2507
4.5
EXAONE-4.0.1-32B (high)
2.0
Avg Token Usage
Llama-VARCO-8B-Instruct
11080.3
Deepseek-V3.2
5349.3
Solar-Pro-2 (31B)(high)
5138.3
Deepseek-R1-distill-Qwen-32B (high)
4199.7
Grok-4.1-fast
3670.7
HCX-007(high)
3434.0
Gemini-3-Pro-Preview
2963.3
GPT-oss-20B (high)
2818.7
Claude-Opus-4.5
2506.3
EXAONE-4.0.1-32B (high)
2429.3
GPT-5.1 (high)
2239.3
A.X-4.0 (72B)
2217.0
Gemma-3-27B
2111.0
Qwen3-30B-A3B-2507
1046.3